Exploring the Extreme Educator Guide pdf - ER - NASA

National Aeronautics andSpace AdministrationEducational ProductEducators Grades K-8EG-2003-01-001-DFRC

iiExploring the Extreme: An Educator’s GuideEG-2003-01-001-DFRC

Table of ContentsAcknowledgments.......................................................................................................... ivHow To Use This Guide ................................................................................................ 1F-15 ACTIVE Research Program History and Technology ............................ 3MatricesMathematics Standards ............................................................................................ 14Science Standards .................................................................................................... 15Science Process Skills ............................................................................................. 16ActivitiesGrades K-4Lesson 1: Finding the Center of Gravity Using Rulers .......................................... 18Lesson 2: Finding the Center of Gravity Using Plumb Lines................................. 22Lesson 3: Changing the Center of Gravity Using Moment Arms ........................... 25Grades 5-8Lesson 1: Jet Propulsion ......................................................................................... 32Lesson 2: Vectoring ................................................................................................. 45Lesson 3: Center of Gravity, Pitch, Yaw ................................................................. 50Lesson 4: Fuel Efficiency ........................................................................................ 57AppendixGlossary...................................................................................................................... 64NASA Educator Resource Center Network .................................................. 78Evaluation Reply Card .......................................................................... Back CoverExploring the Extreme: An Educator’s GuideEG-2003-01-001-DFRCiii

AcknowledgmentsThis publication was developed for the NationalAeronautics and Space Administration (Dryden FlightResearch Center) by PAT (Preservation of Aerospace Technology)Projects, Inc., with the assistance of teachers from the AntelopeValley in North Los Angeles County and Kern County ofCalifornia.Project Oversight and ManagementProject Oversight Marianne McCarthy, Ph.D.,Center Education Director, NASA DFRCProject Coordinator Michelle Davis,and Managing Editor Dryden Aerospace Education Specialist, NASA DFRCCover Design Ted Huetter,Education Multimedia Specialist, NASA DFRCSpecial thanks to Lee Duke, under whose guidance and tenure this product originated.F-15 ACTIVE WritersJudi Dana (K-4),Teacher, Tehachapi School DistrictMeri Kock (5-8),Teacher, Park View Intermediate SchoolMike Lewis (9-12),Teacher, Lancaster High SchoolBruce Peterson and Steve StowePilot Advisors, PAT Projects, Inc.Management and ProductionWayne Ottinger,Managing Director, PAT Projects, Inc.Kathy Johnston (Standards Matrix and Organization),Teacher, Pearblossom SchoolShari Gallagher-Johnson,Desktop Publishing and Graphic DesignivExploring the Extreme: An Educator’s GuideEG-2003-01-001-DFRC

How To Use This GuideControlled flight by humans was attempted early in the lastmillenium but only mastered for heavier-than-air vehiclesin the last century. Tremendous progress was achieved inthe twentieth century in aircraft performance and missioncapability through research in flight controls, aircraftstability, and propulsion. Modern technology was appliedto aeronautics in the last century as aggressively as in otherfields, such as medicine, communications, and geosciences.So many advances have been made, that today the demandsof performance and maneuverability for many advancedaircraft designs require extensive use of computers to aidthe pilot in controlling flight.With some simple inexpensive materials, you can mount anexciting and productive unit for children that incorporatesscience, mathematics, and technology education. Themany activities contained in this teaching guide emphasizehands-on involvement, prediction, data collection andinterpretation, teamwork, and problem solving. The guidealso contains background information about aeronauticalresearch that can help students learn how airplanes fly.Following the background sections are a series of activitiesthat demonstrate the basic science of aeronautics whileoffering challenging tasks in design. Each activity employsbasic and inexpensive materials. In each activity you willfind construction diagrams, material and tools lists, andinstructions. A brief background section within eachactivity elaborates on the concepts covered and points backto the introductory material in this guide. Also included isinformation about where the activity applies to science andmathematics standards, assessment ideas, and extensions.Because many of the activities and demonstrations apply tomore than one subject area, a matrix chart identifiesHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC1

opportunities for extended learning experiences. The chartindicates these subject areas by activity title. In addition,many of the student activities encourage student problemsolvingand cooperative learning. The length of timeinvolved for each activity varies according to its degree ofdifficulty and the development level of the students.Finally, the guide concludes with a glossary of terms,suggested reading list, NASA educational resourcesincluding electronic resources, and an evaluationquestionnaire. We would appreciate your assistance inimproving this guide in future editions by completing thequestionnaire and making suggestions for changes andadditions.A Note on MeasurementIn developing this guide, metric units of measurement wereemployed. In a number of instances, English units are usedor shown along with metric units because of the standardpractices in the aviation community, such as altimetersdisplaying feet instead of meters.2High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

F-15 ACTIVE (Advanced Control Technology for Integrated VEhicles)Research Program History and TechnologyFigure 1-1F-15 ACTIVEThis highly modified F-15 fighter was just one of the aircraft used by NASA to explore the extremelimits of aerospace technology. The aircraft was built in 1972, and modified for the U.S. Air Force'sShort Takeoff and Landing Maneuvering Technology Demonstrator (STOL/MTD) flight researchprogram which lasted from the mid-1980s until 1991. Beginning in 1993 it was involved in a NASA,U.S. Air Force, and private industry flight research program called Advanced Control Technology forIntegrated Vehicles (ACTIVE). The F-15 ACTIVE program concluded in 1999. Since then the aircrafthas been used as a testbed for "intelligent flight control systems" that enable a pilot to maintain controland safely land an aircraft that has suffered a major systems failure or combat damage.History and Technical DiscussionPilots can maneuver an airplane about each ofits three axes, producing motions called pitch,roll, and yaw (figure 1-2). Pilots steer theairplane’s flight path as desired by controllingpitch, roll, and yaw with a control wheel(or stick) and foot pedals located in thecockpit. These cockpit controls are in turnconnected to movable panels, called flightcontrol surfaces, attached to the airplane’sstructure. These surfaces are named theelevator, ailerons, and rudder (figure 1-3).The elevator produces pitch up or down whenthe pilot moves the control stick backward orforward. Ailerons cause the airplane to rollright or left corresponding to right or leftmovement of the control stick. The rudderproduces right or left yaw corresponding toright or left rudder pedal movement.A recent flight control design incorporated inthe F-15 ACTIVE (figure 1-1) is the use ofthrust vectoring to also produce pitch, roll,and yaw. Here, the jet engine’s exhaust nozzleHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC3

The ruddercontrols yawElevator controls pitchForceForceAilerons control rollFigure 1-2Three axes producing motions called pitch, roll, and yaw.Figure 1-3Supermarine Spitfire4High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

moves as well as the flight control surfaceswhen the pilot moves the control stick. Thismovable nozzle deflects the exhaust stream toproduce the desired motion. Thrust vectoringcausing a nose-up pitching motion is illustratedin figure 1-4. Deflecting the exhaust streamupward causes a reaction force that moves thetail down (and nose up), complementing theusual nose-up motion due to elevatordeflection.“Vectoring” for jets simply means pointing theengine exhaust in various directions (direction+ magnitude = vector) to change the directionof the aircraft’s flight path. You may havedriven a small boat by pointing an outboardmotor to steer the boat; it’s much the sameidea.Here is a more formal definition of thrustvectoring: the manipulation of jet engineexhaust such that the resultant reaction forcesaugment, or in some cases, replace, thoseforces normally generated by the aerodynamiccontrol surfaces.Flight Control DesignMechanical Flight ControlsFrom the Wright Flyer through most WorldWar II airplane designs, the pilot’s stick andrudder pedals were connected to the flightNose UpPitchingMomentThrust VectoringPropulsive ForceDownward(Maneuver)Forcecontrol surfaces with steel cables. Thus, thesedesigns are often called “manual” or“mechanical” flight control systems.In such a design, pressure of the airflow overthe airplane’s flight control surfaces resistsmovement of the cockpit control stick. Sincefaster speeds produce higher air pressures, itbecomes progressively harder for the pilot tophysically move the stick as airspeedincreases.Hydraulic Flight ControlsTo allow the pilot to be able to move thecontrol stick at very high speeds, hydraulicallypowered flight control systems wereintroduced. Here, a hydraulic actuator movesthe control surface and essentially multipliesany force the pilot applies to the stick manytimes over as it positions the control surface.While permitting supersonic flight, hydraulicflight control systems posed new problems forpilots in controlling these airplanes. It wasoften difficult for the pilot to predict how muchstick force was necessary to produce thedesired response. Control forces, which werenatural and predictable in a mechanical flightcontrol aircraft, were reproduced artificially inthe hydraulic aircraft. Optimizing the variousdevices involved over the entire flightenvelope proved difficult, and it was notuncommon for pilots of these highlyLiftWeightFigure 1-4Pitch Thrust VectoringHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC5

maneuverable aircraft to lose control.Additionally, failures of the hydraulic system,such as ruptured fluid supply lines oroverheated pumps, plagued these designs.Fly-By-Wire Flight ControlsIn the 1960s, designers turned to electronicsand computer technologies to overcome manyof the problems associated with hydraulicallypowered flight controls. Hydraulic actuatorswere still necessary, but fly-by-wire meant thatthe pilot’s control stick movements were nowtransmitted electronically to the actuators.Also, a computer allowing much-improvedflight path control precision could control theairplane’s response. NASA research was thedriving force for the successful development offly-by-wire aircraft.The NASA Digital Fly-By-Wire (DFBW forshort) research aircraft, a modified U.S. NavyF-8 Crusader, was one of the most significantresearch programs in NASA history. On May25, 1972, NASA 802 became the first aircraftto fly completely dependent upon an electronicflight control system (no mechanical backup).It used a computer from the Apollo spacecraftto operate the flight controls. The DFBW F-8validated the concepts of the fly-by-wire flightcontrol systems now used on nearly all modernhigh-performance aircraft, military and civiliantransports, and the Space Shuttle flight controlsystem. 1 The F-15 ACTIVE research aircraft isequipped with a digital fly-by-wire flightcontrol system.Digital flight-control systems were able toincorporate “multi-mode” flight control lawswith different modes, each optimized toenhance maneuverability and controllabilityfor a particular phase of flight. Earliermechanical or electronic flight control systemscould be optimized for only one particular setof flight conditions, such as supersonic flight,weapons carriage, or perhaps takeoff andlanding. But the DFBW designs could “flip aswitch,” giving a separate set of softwarecontrol laws for each flight phase the aircraftwould encounter. Thus, a design might have atakeoff and landing mode with its set of controllaws, a cruise mode with a different set ofcontrol laws, a weapons delivery mode,supersonic mode, and so on. Development ofthrust vectoring control laws is part of the F-15ACTIVE research.Thrust Vectoring and Fly-By-WireCombinedThrust vectoring produces greater agility andmaneuverability, especially at slow airspeedsand at a high angle-of-attack (relationshipbetween the aircraft’s wings and actual flightpath). Whereas aerodynamic control surfaceslose their ability to produce pitch, roll, or yawat slow airspeeds, thrust vectoring still remainsquite effective. This is because the pressure ofengine thrust against the nozzles staysrelatively constant while the air pressure oncontrol surfaces goes down exponentially asairspeed decreases. In fact, aerodynamicsurfaces can lose effectiveness altogether if theangle-of-attack gets too high (called a stall).Fly-by-wire computers do the job of properlyblending the amount of control surfacedeflection and thrust vectoring needed. Thisallows the pilot to simply move the stick in thedesired direction, so that flying a thrustvectored airplane is no more difficult, ordifferent, than flying a conventional airplane.Other design benefits include less drag fromelevator/stabilator deflections for balance(trim drag); that is, the use of thrust vectoringinstead of control surface deflection forbalance requirements. This in turn results inbetter fuel efficiency (due to less trim drag)and reduced operating costs. Thrust vectoringmakes possible new, more aerodynamicallyefficient configurations, such as tailless aircraft6High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

with reduced weight due to replacement ofcontrol surface area. Safety can be improvedby preventing stalls and loss of control andwith reconfigurable flight controls using thrustvectoring to replace a malfunctioning controlsurface. Finally, slower landing speeds arepossible, allowing shorter, less expensiverunways to be used.Related Programs and ResearchHarrier “Jump Jet” Operational ExperienceOne of the first operational aircraft to usethrust vectoring was the Harrier, flown by theBritish Royal Air Force, British Royal Navy,and the U.S. Marines. The first flight of theprototype, called the Kestrel, was in 1960. TheHarrier uses four movable engine exhaustnozzles that may be rotated downward, asillustrated in figure 1-5, for vertical takeoff orlanding. Its thrust vectoring capability was notdesigned for in-flight maneuvers other thantakeoff and landing.MATV, HARV, and X-31NASA research explored thrust vectoring atextremely high angle-of-attack on the HighAlpha (angle-of-attack) Research Vehicle(HARV), a modified F-18. The F-16 Multi-Axis Thrust Vectoring (MATV) researchprogram made significant contributions tounderstanding thrust vectoring designrequirements and agility benefits. The X-31research aircraft is continuing to help NASAlearn about the benefits of thrust vectoring(figure 1-6). Whereas a small airplane likethose you might see at the local airport mightstall and lose control at about 15 degreesangle-of-attack, the X-31 has demonstratedcontrolled flight to 70 degrees angle-of-attackas well as flight with the vertical stabilizer andrudder completely removed (figure 1-7).F-15 S/MTDThe F-15 S/MTD (STOL [Short Take Off andLanding]/Maneuvering TechnologyDemonstrator) testing focused on short takeoffsand landings as well as on enhancing pitchmaneuvering capabilities. The first flight with thevectoring nozzles was in May 1989 and flighttesting lasted until late 1991. The programdemonstrated significantly shorter runwayrequirements of about 50 percent over productionF-15s, inflight use of thrust reversing fordeceleration improvement, and enhancedpitching moments with pitch thrust vectoring. 2The ACTIVE effort evolved from the S/MTDprogram at the NASA Dryden Flight ResearchCenter.F-15 ACTIVE Research ProgramThe F-15 ACTIVE research program combinedthe latest in fly-by-wire flight control systemand three-dimensional (3-D) thrust vectoringtechnologies. While previous programsdemonstrated one-dimensional (1D), twodimensional(2D), and three-dimensional (3D)vectoring during very slow speed, high angleof-attackconditions, the F-15 ACTIVE wasused to study the utility of thrust vectoringover a broader spectrum of flight conditions.The overall goal of the F-15 ACTIVE testprogram was to expand the flight envelope inwhich useful thrust vectoring is available toenhance aircraft performance, maneuverability,and controllability using productionrepresentative(those that could be massproducedeconomically) thrust vectoringnozzles. 3Aircraft DescriptionThe test aircraft was a USAF F-15B (two-seatversion), tail number 71-0290, and becameNASA 837. This aircraft has been throughmany modifications over the years for varioustest programs so it is quite different fromproduction F-15 aircraft. It was selected for theACTIVE research because of the flexibility ofits unique, digital, fly-by-wire, integrated flightcontrol and propulsion system. The cockpitHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC7

closely resembles the F-15E “glass” cockpitswith electronic flight instrument displays and awide field-of-view Head Up Display.Externally, canard flight control surfaces(actually modified F-18 stabilators) wereadded on the left and right upper inlet areasforward of the wing.Most importantly, this aircraft had specialnozzles for each of the two Pratt & Whitneyafterburning engines that can vector up to 20degrees in any direction from the thrustcenterline. 3 F-15 ACTIVE StatisticsMaximum Altitude: 65,000 ftMaximum Speed: Mach 2.0+Weight: 54,000 lbs at takeoff,46,000 lbs emptyFuel Capacity: 11,520 lbs(approximately 1,700 gal)Engines: Two Pratt & Whitney F100–PW-229thrust vectoring turbofan jet enginesEngine Nozzles: Pratt & Whitney Pitch/YawBalance Beam Nozzles (PYBBN)Wingspan: 42.10 ftLength: 63.9 ft (excluding the nose boom)Height: 18.8 ftHorizontal Tail (stabilator) Span: 28.2 ftCanard Span: 25.6 ftThe F-15 ACTIVE had nine control effectors:left canard, right canard, left aileron, rightaileron, left stabilizer, right stabilizer, rudder(two surfaces counted as one effector sincethey move together), pitch nozzle, and yawnozzle (figure 1-8). Flight demonstration of acomputer program that can optimize these nineeffector movements as well as engine thrust tomaximize performance factors, such as range,is a major objective of ACTIVE. The cockpitcontrols for some these effectors are shown infigure 1-9.ACTIVE TestingF-15 ACTIVE testing was a joint programconducted by NASA, USAF, Boeing PhantomWorks (formerly McDonnell DouglasAerospace Phantom Works), and Pratt &Whitney. As mentioned, the F-15 ACTIVEresearch used the very same aircraft as the F-15 S/MTD program. The major change to theF-15B test aircraft was the installation of Pratt& Whitney Pitch/Yaw Balance Beam Nozzles(PYBBN for short). PYBBN design hasmatured to the point where they could be usedin a production series of aircraft. 3 The firstorder of business was to “clear the envelope”to make sure the nozzles would operate asexpected throughout the F-15 ACTIVE’s flightenvelope (figure 1-10) without causing anyunwanted side effects or engine problems.Next was to find out how well the nozzlesactually vectored engine exhaust anddetermine whether the additional loadsimparted to the tail end of the aircraft wereacceptable. Initial testing also evaluatedimprovements in aircraft performance due tothrust vectoring.F-15 ACTIVE flight testing commenced onFebruary 14, 1996, with the first vectoringflight, at 20,000 feet and Mach 0.6, less thanone month later, on March 7. The firstsupersonic pitch vectoring was on April 24,taking ACTIVE to Mach 1.2 at 30,000 feet.This was followed by a “world first”supersonic yaw vectoring at Mach 1.6 and45,000 feet, on June 13. By November, thrustvectoring had been performed as fast as Mach1.95 at 45,000 feet and as slow as 200 knots at30,000 feet with angle-of-attack at 30 degrees. 4Testing demonstrated successful operation ofthe PYBBN nozzles and problem-free engineoperation.Additional testing was done to evaluate theimpact of the vectored exhaust plume onHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC9

CANARDS42.83 ft.CANARDS63.75 ft.18.67 ft.Figure 1-8Control Effectors of F-15 ACTIVE10High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

aircraft response and stability. These jetinteraction effects were important to define forfuture aircraft designs such as the Joint StrikeFighter program. Additional tests proved thatthe PYBBN nozzles did not impact engineoperability and that the Pratt & Whitney designwas well suited for future ACTIVE researchobjectives. 4Included in the research experiments was anadvanced fly-by-wire flight control systemcalled “Intelligent Flight Control.” Thissystem allows the aircraft to automaticallyadapt to unforeseen changes due to failures orbattle damage to flight controls by directingthe remaining control effectors to compensatefor the malfunctioning ones. This could allowfuture aircraft to safely land after sustainingmajor damage or system failures.This concludes the introduction to the F-15ACTIVE research program. You should nowhave an appreciation of aerodynamic designevolution, thrust vectoring concepts, fly-bywireflight controls, and integration of thesetechnologies as they have influenced theconfiguration of the F-15 ACTIVE aircraft.References1NASA Dryden Flight Research Center, 1992.F-8 Digital Fly-By-Wire Fact Sheet.Document: FS-DFRC-011 (9205), May 1992.Edwards, CA: NASA Dryden Flight ResearchCenter Public Affairs Office.2Jenschke, E. and Walker, L. 1990.F-15 STOL/Maneuvering TechnologyDemonstrator: Phase III: Thrust Vectoring,Reversing, and STOL Operations. Pp. 30–50in the SETP Thirty-Fourth SymposiumProceedings, Beverly Hills, CA, September27–29, 1990. Lancaster, CA: SETP.3Berger, C., Conners, T., Johnson, G., Orme, J.,Schkolnik, G., Shy, K., Smolka, J., Walker, L.,and Wood, C. 1996. F-15 ACTIVE ResearchProgram. Pp. 112–145 in the SETP FortiethSymposium Proceedings, Beverly Hills, CA,September 26–28, 1996. Lancaster, CA: SETP.4Bolling, J., Conners, T., Doane, P., Duke, B.,Fick, E., Orme, J., Schkolnik, G., and Wood,B. 1997. ACTIVE Thrust Vectoring WorkshopPresentations, AIAA Atmospheric MechanicsConference, New Orleans, LA, August 13,1997. (Available from AIAA, Reston, VA.)12High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

ActivityMatric e sHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC13

Curriculum and EvaluationStandards for School MathematicsNational Council of Teachersof Mathematics in 1989Mathematics as Problem SolvingMathematics as CommunicationMathematics as ReasoningMathematical ConnectionComputation and EstimationAlgebraGeometryMeasurementxxxxxxxxChanging the Center of Gravity with Moment ArmsJet PropulsionVectoringCenter of Gravity, Pitch, YawFuel EfficiencyFinding the Center of Gravity Using Plumb LinesFinding the Center of Gravity Using Rulersxxxxxxxxxxxxxxxxx14High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

National Science Education StandardsNational Research Council 1996 Grades 4-12Science as InquiryAbilities necessary to do scientific inquiryPhysical ScienceProperties and changes of properties in matterMotions and forcesTransfer of energyInteractions of energy and matterLife ScienceStructure and function in living systemsEarth and Space ScienceEarth in the solar systemScience and TechnologyAbilities of technological designUnderstanding about science and technologyScience in Personal and Social PerspectivesPopulations, resources, and environmentsRisks and benefitsNatural and human induced risksFinding the Center of Gravity Using RulersFinding the Center of Gravity Using Plumb LinesChanging the Center of Gravity with Moment ArmsJet PropulsionVectoringCenter of Gravity, Pitch, YawFuel EfficiencyxxxxxxxxxxxxxxxxxxxHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC15

Science Process SkillsObservingCommunicationMeasuringCollecting DataInferringPredictingMaking ModelsMaking GraphsHypothesizingInterpreting DataControlling VariablesDefining OperationallyInvestigatingxxxxxxxxxxxxxxxxxxxxFinding the Center of Gravity Using RulersChanging the Center of Gravity with Moment ArmsJet PropulsionVectoringCenter of Gravity, Pitch, YawFuel EfficiencyxxxxxxxxxFinding the Center of Gravity Using Plumb Linesxxxxxxxxxx16High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Grades K - 4High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC17

Lesson 1: Finding the Center of Gravity Using RulersGrades K–4Objectives• To discover the center of gravity (c.g.) bybalancing a cardstock shape (twodimensionalmodel) of an F-15 ACTIVEon a ruler both longitudinally and laterally.• To demonstrate balance (state ofequilibrium) by suspending a cardboardshape of an F-15 ACTIVE from a string atthe center of gravity (c.g.).Science StandardsScientific EnterpriseScience and TechnologyScience as InquiryPhysical SciencePosition and Motion of ObjectsChange, Constancy, and MeasurementEvidence, Models, and ExplanationScience Process SkillsObservingCommunicatingMeasuringCollecting DataInferringPredictingHypothesizingInvestigatingMathematical StandardsProblem SolvingCommunicationReasoningMeasuringManagementThis lesson may be a whole class lesson. Forkindergarten and first grade students, theteacher may demonstrate using one cardstockmodel of an F-15 ACTIVE. Students in grades2-4 may each have their own cardstock modelor work in small groups of two to four sharinga cardstock model.This lesson is divided into two parts. In part 1,students draw longitudinal and lateral axes tofind the center of gravity. In part 2, studentsmay need help to suspend models. The modelsare needed for lesson 3, and part 2 may bepostponed until lesson 3 is scheduled. Allowapproximately 30 to 45 minutes to complete.The center of gravity is the average location ofthe weight of the aircraft. The mass andweight are distributed throughout the airplane.Part 1Materials and Tools• Cardstock F-15 ACTIVEs (see page 21)for each student or group• Ruler for each group• Crayon• Masking tape• ScissorsPreparationTeacher uses the pattern to trace and cut outF-15 ACTIVE models from light cardstock(see page 21). If students are capable, theycan cut out their own models.Procedure1. Ask students what they know about the F-15. (It is a highly maneuverable fightercapable of achieving Mach 2 and highaltitudes. Explain that the F-15 ACTIVEwas a special one-of-a-kind airplane flownby NASA and U.S. Air Force researchpilots for research purposes.)2. Bring out a cardstock F-15 ACTIVEmodel. Balance it flat on your finger orfist. Ask the students if they think theycould balance it too. If using one model todemonstrate, give several students achance to balance it, or distribute thecardstock F-15 ACTIVEs. Allow time forexperimentation.18High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

3. Tell students that NASA engineers need toknow the exact place to balance the realairplane, just as they balanced their modelairplanes. This place is called the center ofgravity (c.g.). Balance an F-15 ACTIVEmodel on your finger. Tell students this isa stable position—when given a littlepush—it wobbles back and forth, butdoesn’t fall. It will come back to a stable,balanced position. Tell them NASAengineers use science and mathematics tofind the center of gravity (c.g.), and theycan do it too.4. Tell students they will balance the F-15ACTIVE models on the edge of a rulerinstead of on their fingers. Demonstratehow to position the ruler on the edge of atable and tape it in place with maskingtape.5. Most of the ruler’s length should extendpast the edge of the table.6. Demonstrate how to balance the cardstockF-15 ACTIVE on the ruler in alongitudinal direction. Draw a line downthe middle of the F-15 ACTIVE with acrayon.8. The point of intersection of the two lines isthe center of gravity (c.g.).Draw Line9. Distribute tape and rulers to each group.Students will tape the ruler to a desk andtake turns helping each other balance andhold the F-15 ACTIVE steady so linesmay be drawn. This could be a learningcenter with an adult helper. Save F-15ACTIVE for part 2.Part 2Materials and Tools• Cardstock F-15 ACTIVE from part 1• Crayons• Needle and string for teacher• Paper clips• Ceiling hooks• Meter sticks or rulersTableTapeRuler on edge7. Demonstrate how to balance the F-15ACTIVE on the ruler in a lateral direction.Draw a line.Draw LineHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC19

Procedures1. Allow students to color their F-15ACTIVEs using the colors of red, whiteand blue. Use the Exploring the Extremeposter as a color guide or look on-line atwww.spacelink.nasa.gov. Teacher punchesa small hole in each F-15 ACTIVE at thecenter of gravity with the needle andthread.2. Tie a large knot on the bottom of thestring. The knot must be larger than thehole.3. Hang from ceiling using paper-clip hooksor suspend from meter stick/ruler, whichwill be held by the teacher or partner. SaveF-15s for lesson 3.Assessment1. Conduct a class discussion where studentsdemonstrate their understanding of:• Balance• Stability• Center of gravityManagementIn part 1, students may work individually or in pairsusing their F-15 ACTIVE models from lesson 1 orlesson 2. Using just one suspended cardstock F-15ACTIVE model, the teacher may demonstrate part 1.In part 2, students working in pairs or groups of threewill be able to help each other. Allow 20–30 minutesfor part 1, and 45 minutes for part 2.DescriptionStudents discover the center of gravity of a cardstockshape of an F-15 ACTIVE using plumb lines andsuspend the F-15 ACTIVE from a string.Materials and Tools• Cardboard F-15 ACTIVEs• String for each group, 18 inches (45.72centimeters)• Hole punch for each group• 2 pushpins• Paper clip for each group• Ruler for each group2. Ask students to predict what they thinkmight happen if the teacher pushes theF-15 ACTIVE in:• A forward direction• A sideways direction3. Push the F-15 ACTIVE and allow it toswing back to a resting position. Discussthe action in terms of balance andstability. Compare the push to a pilotflying (controlling) the airplane and theairplane being designed to return to astable position. The F-15 ACTIVE usescomputers to integrate the control surfacesand the vectored thrust so that the plane isstable.20High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Drawing of F-15 ACTIVE(Teachers, copy this page on to cardstock.)High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC21

Lesson 2: Finding the Center of Gravity Using Plumb LinesGrades 3–4Objectives• To discover the center of gravity (c.g.) of acardstock shape (two-dimensional model)of an F-15 ACTIVE using plumb line.• To demonstrate balance (state ofequilibrium) by suspending a cardstockshape of an F-15 ACTIVE from a string atthe center of gravity.Science StandardsScientific EnterpriseScience and TechnologyScience as InquiryPhysical SciencePosition and Motion of ObjectsChange, Constancy, and MeasurementEvidence, Models, and ExplanationScience Process SkillsObservingCommunicatingMeasuringInvestigatingPredictingControlling VariablesMathematical StandardsProblem SolvingCommunicatingReasoningMeasuringFunctions and Patterns22High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

PreparationUse the pattern of the F-15 ACTIVE to traceand cut out cardboard shapes. Older studentscan do the cutting.Part 11. Introduce the F-15 ACTIVE• Ask students what they know about the F-15 ACTIVE. (A highly maneuverablefighter capable of achieving over Mach 2and altitudes of 60,000 feet.) Bring out oneof the cardstock F-15 ACTIVEs. Explainthis as an F-15 ACTIVE, a special one-ofa-kindairplane flown by NASA test pilotsfor research purposes.• Balance it flat on your finger. Ask thestudents if they think they could do thesame if they had an F-15 ACTIVE.Challenge students.• Distribute cardboard F-15 ACTIVEs ordistribute materials so students can cut outthe F-15 ACTIVEs.• Allow time for exploration as students willwant to fly their airplanes.• Tell students that NASA engineers need toknow the exact place to balance the F-15ACTIVE just as the students did whenthey balanced the models on their fingers.• Tell them NASA engineers usemathematics to find the center of gravity,and they can, too.• Students will do each step in small groups,or teacher may demonstrate.Procedure1. Attach the paper clip weight to one end ofa string.Push pinStringRulerPush pinPaper ClipWeight2. Attach the string and paper clip weight toa wall with a pushpin. This is the plumbline.3. Punch one hole anywhere on the F-15ACTIVE.4. Put the other pushpin through the hole,and let the F-15 ACTIVE dangle from thepin until it settles in a stable position.5. Put the pushpin (and hanging F-15ACTIVE) right on the plumb line.6. Use a ruler to draw a line on the F-15ACTIVE, following path of the plumbline.7. Repeat steps 3, 4, 5, and 6 once or twice.Take turns.8. Where the lines intersect is the center ofgravity.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC23

Part 2Have the students color their F-15 ACTIVEsand punch a small hole in each F-15 ACTIVEat the marked center of gravity with a needleand thread. Tie a large knot at the bottom.Hang from the ceiling using paperclips orhooks. Hang the F-15 ACTIVEs low enoughso that students can use them to completelesson 3.Assessment1. Conduct a class discussion where studentsdemonstrate their understanding of:• Balance• Stability• Center of Gravity2. Ask students to predict what they thinkmight happen if the teacher pushes theF-15 ACTIVE in:• A forward direction• A sideways direction3. Push the F-15 ACTIVE and allow it toswing back to a resting position. Discussthe action in terms of balance andstability. Compare the push to a pilotflying (controlling) the airplane and theairplane being designed to return to astable position. The F-15 ACTIVE usescomputers to integrate the control surfacesand the vectored thrust so that the plane isstable.ExtensionsUse other shapes to find center of gravity. Forexample: initials, outlines of states, birds.24High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Lesson 3: Changing the Center of Gravity Using Moment ArmsGrades 3–4Objectives• To discover that the center of gravity (c.g.)can be changed by adding weights to thebalanced F-15 ACTIVE model.• To calculate moment arms using weightson a yardstick.Science StandardsUnifying Concepts and Processes inScienceScience as InquiryPhysical SciencePositions and Motion of ObjectsScience and TechnologyScience in Personal and SocialPerspectivesHistory and Nature of ScienceScience Process SkillsObservingCommunicatingMeasuringInvestigatingPredictingCollecting DataInferringHypothesizingDescriptionStudents discover the center of gravity can bechanged by adding paper clips to the balancedF-15 ACTIVE cardboard model.Students calculate the moment arm using abalanced yardstick, adding weights at measureddifferences.Materials and ToolsFor each group:• Yardstick• Rubber band• String• Cellophane tape or masking tape• Ruler• Weights:-Government Standard weight set(1, 2, 3 grams) or-Fishing sinkers of known weigh (1, 2, 3ounces) or-Fishing sinkers all one size per group• Copy of chart for each studentMathematical StandardsProblem SolvingCommunicatingReasoningComputing and EstimatingMeasuringFunctionsMeterstickStringManagementIn part 1, students may work individually or inpairs. In part 2, students working in pairs orgroups of three will be able to help each other.Allow 20-30 minutes for part 1 and 45minutes for part 2.Moment Arm ARubber BandMoment Arm BHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC25

PreparationThe teacher may want to arrange the hangingyardsticks before class time. Each group willuse a suspended yardstick. Wrap a rubberband around each yardstick. Tie a string to therubber band to suspend the yardstick. Movethe rubber band until the yardstick is balanced.Rubber band is at the 0 point andmeasurements will be made in both directions,called arms, starting at this point. Explain thatmoment is equal to weight x moment arm(distance). Calculate moments for tests 1-4.1. Tell students to place a 1-unit weight 2inches (5.08 cm) from the 0 point.They should tape it to the yardstick.Suspend the yardstick. It will beunbalanced. Tell students to find outhow much weight needs to be placed at1 inch (2.54 cm) from the 0 point onthe other side to make the yardstickbalance. Record the answer on chart.(2 units weight)Discussion: Ask if the larger weight iscloser or farther away from 0 point.Will this always be true? (Yes, thelarger weight is always closer to the 0point.)2. Tell students to put 2 units of weight at6 inches (15.24 cm) from the 0 point.Ask them to find what weight needs tobe added at 4 inches (10.16 cm) fromthe 0 point on the other side. Recordthe answer. (3 units weight)Discussion: The distance the weight isfrom the 0 point is called the momentarm. One side is called weight A onmoment arm A and the other side isweight B on moment arm B. Look atchart.3. Tell the students to put 3 units ofweight 4 inches (10.16 cm) from 0point. (3 units weight at 4 inches or10.16cm moment arm.) Ask wherethey could put a 1-unit weight to makethe yardstick balance. Record theanswer. (12 units)4. Put 2 units of weight on one side tomake the yardstick balance. It will beeasier if students use evenmeasurements. Record the answer.Discussion: Ask if students notice aconnection between moments A and B.• How do you find moment?• What is the difference betweenmoment and moment arm?5. Let students experiment with weightsto get other moments.Enrichment: Challenge students to addweights to two different spots on thesame side.Weight A1 x Moment arm1 + WeightA2 x Moment arm2 =Weight B x Moment arm B1 x 4 + 2 x 3 = 2 x 5AssessmentDiscussion and Student Sheet26High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

A1. 1 x 2 = 22. 2 x 6 = 123. 3 x 4 = 124. 2 x 3 = 65. 2 x 6 = 126. 2 x 9 = 18B1. 2 x 1 = 22. 3 x 4 = 123. 1 x 12 = 124. 3 x 2 = 6 (possible answer)5. 3 x 4 = 12 (possible answer)6. 3 x 6 = 18 (possible answer)1 unit10.16cm12.7cm2 units2 units7.62cmHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC27

Name: _______________________________Date: ______________________Moment Student Work SheetTest #Weight A(Grams)Distance A(MomentArm A,Centimeter)Moment A(Gramscentimeter)Weight B(Grams)Distance B(MomentArm B,centimeter)Moment B(Gramscentimeter)#128.35g5.08cm56.7g2.54cm#256.7g15.24cm85.05g5.08cm#385.05g10.16cm28.35g 30.48cm#456.7g 7.62cm#5#6#728High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Name: _______________________________Date: ______________________EnrichmentCalculate these moments. Use calculators if appropriate.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC29

30High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Grades 5 - 8High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC31

Objective• To build a model to demonstrate howthrust is created in a jet engine.Science StandardsScience as InquiryPhysical SciencePosition and Motion of ObjectsUnifying Concepts and ProcessesEvidence, Models, and ExplanationScience Process SkillsObservingCommunicatingCollecting DataMaking ModelsControlling VariablesLesson 1: Jet PropulsionGrades 5 - 8Background InformationA turbine engine works in four basic stages.Outside, or ambient, air enters the enginethrough the air inlet. The air then moves intothe compression section of the engine. In thissection the compressor increases the airpressure, which also increases its temperature.From there the air is forced into the burnersection, where the temperature is furtherincreased by fuel combustion. The hot,expanding air then moves into the turbine,which drives the compressor. The air expandsthrough a tailpipe designed to discharge theexhaust gas at high velocity, producing thrust.CompressorCombustion ChamberTurbinesMathematics StandardsCommunicatingReasoningConnectionsManagementThis activity works best if the students workin pairs. Allow approximately 40-45 minutesto complete. This is activity is divided intotwo parts. In part 1 the students move throughthe three stations discovering what happens asdifferent forces act on air. Then studentsprocess what they observed and compile itinto the correct arrangement to describe how aturbojet engine produces thrust. Thisexperiment stresses prediction, observation,data collection, and analysis of results. In part2 the students construct a model of a jetengine, label each part, and describe whateach part does. An optional teacherdemonstration may be used to bring the threestages together into a single event.EngineAir IntakeEngine CaseEngine Tailpipeand Jet NozzleDescriptionUsing a series of stations, students discoverhow an engine takes in air, compresses it,burns fuel to make air expand, and how the airis then forced out the tailpipe, creating thrust.There is also an optional teacherdemonstration combining all thesecomponents into a single tennis ball–containerengine.Part 2 involves building a static, or nonmoving,model of a jet engine. At the end ofthe lesson, students will use technical writingskills to explain how a jet engine works.32High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Part 1Materials and Tools• Intake StationSmall desk fanOne sheet of paperIntake Station Directions• Compression StationButcher paperTwo desk fans that are the same sizeTwenty 6-inch lengths of stringTwenty 5-by-7-inch index cardsTapeTwo markersCompression Station Directions• Combustion StationFlask, medium sizeBalloonCan of SternoMatches or lighterTongsCombustion Station DirectionsCombustion Station: Stretch the balloonover the neck of the flask. Set out theSterno can, matches, and tongs. You willwant to monitor this station closelybecause of the use of heat and matches.Post the direction sheet on page 41 whereit can be seen easily.2. Distribute Student Work Sheet. Tell thestudents they will be conducting variousexperiments at the stations situated aroundthe room.3. Move around the room and read thedirections for each station and demonstratethem with the fans turned off and theSterno can unlit.Intake Station: Tell students to turn onthe fan when they get to the station. Holdthe piece of paper in front of the fan.Record what you observe. Next hold thepaper behind the fan. Record what youobserve.Procedures1. Prior to the start of school, set up theequipment at the three stations. If there isroom you may want to set up severalstations to improve classroommanagement and increase studentparticipation. Make sure the fans are ingood working order.Intake Station: Plug in the electric fan.Lay a few pieces of paper near the fan.Post the direction sheet on page 39 whereit can be seen easily.Compression Station: Line up two fans,one in front of the other, pointing the samedirection. Using butcher paper make acylinder that will fit precisely around theframes of the fans. Tape the ends of thecylinder to the fans. Set out index cards,markers, string, and tape. Post thedirection sheet on page 40 where it can beseen easily.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC33

Compression Station: Show the studentshow to poke a hole in the middle of theindex card. Then put one end of the stringthrough the hole and tape it to the indexcard. About 5 inches of the string shouldbe hanging free. Tell them to turn on thefan. Then they will hold the index card 2to 3 inches away from the front of the fan.The string should hang free. Using themarker, the students will mark how highthe string is blown. Then the back fan willbe turned on. With both fans blowing, thestudents will again hold the index card andstring in front of the air stream and markthe height of the string. Record what youobserve.Combustion Station: Carefully light theSterno can. Using the tongs hold the flaskover the Sterno can for a few minutes.Observe what happens to the balloon.Record what you observe. Answer thequestions on the student record sheet onpage 42.Butcher PapercylinderIndexCardStringFans4. Prior to allowing the students to conducteach experiment, have them write theirpredictions for each activity. Set a timelimit of approximately 15 minutes andallow the students to move around theroom and conduct each experiment andanswer the questions.34High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Discussion Questions1. What did you observe at station 1 with thepaper and the fan? Did this match yourprediction? The paper that is held in frontis blown away from the fan. The paperheld in the back is sucked in towards thefan.2. What was your prediction for what wouldhappen if the air had been moving into thefront fan instead of being still? Whatactually happened? The air speedincreases when the air behind the fan isblown into the fan rather than being still.3. What happened to the balloon at station 3?Why do you think this happened? Whatwould happen if the air was enclosed in atube that didn’t expand instead of inside aballoon? The balloon inflated because theair inside was heated. Heated air expands.If this had taken place in a tube, the airwould have been forced out the end of thetube.4. All these stations demonstrate theprocesses that take place inside the variousparts of a jet engine. In what order do youthink they take place? Why? The properorder of the stations is intake,compression, and combustion. There is anadditional step of using a turbine to movethe air out of the engine. This was notdemonstrated. According to one NASAengineer, a shorthand way to rememberthe steps is “suck, squeeze, burn, andblow.”5. Describe to the class the process an engineuses to produce thrust. A jet engine’scompressor turns like the blades of a fan.This causes air to be drawn in from theoutside. When the air moves through thecompressor, which is a series of fans, it iscompressed or squeezed. After movingthrough the compressor, the air enters thecombustion chamber. In the combustionchamber jet fuel is ignited by the igniters,which are similar to spark plugs, whichheats the compressed air, forcing it toexpand. The rapidly expanding air isforced through a turbine, which causes itto turn and drive the compressor. Theturbine is connected to the compressor bya shaft. The air then flows out the tailpipe.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC35

Part 2Materials and Tools• One cardboard paper towel core perstudent• One flexible straw per student• One 12-by-12-inch sheet of aluminum foilper student• Four paper circles 1-1/2 inches in diameterper student• One small (1-inch) paper clip per student• One 3-oz. paper cup per student• One pair of scissors per student• Tape• Glue (not glue sticks)• One copy of the Student Work Sheet Part 2for each student (see page 44).Procedures1. Cut the paper towel core in half lengthwise(figure 1).4. Using the pencil, poke a hole in one sideof the toilet-paper core halfway down thecore. Make the hole large enough for thestraw to fit into it.Figure 25. Cut the straw down so it is 1/4 inch longon one side of the flexible section andabout 1 inch long on the other side.6. Put the short end of the straw into the hole,bend the straw so the longer end lays flatagainst the paper towel core. Tape intoplace. This represents the fuel line (figure2).7. Fold the paper circles in half then intoquarters. Open the circles.8. Cut along the folds close to the center butdo not cut through the center. Do this onthe remaining circles too.Figure 12. Tape the halves together on one side tocreate a hinge effect. This will make iteasier for the students to put the piecestogether.3. Cover the halves with foil. This is strictlyfor appearance.Figure 336High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

9. Bend one corner from each section so thecircles resembles a fan. Do this for twomore circles also (figure 3).10. Straighten the paper clip. Then bendapproximately 1/2 inch of the paper clipdown on one end. This will keep the paperfans from sliding off the paper clip.11. Push the end of the paper clip into thecenter of one fan. Slide the fan back so itis resting against the bent end of the paperclip. Wrap a narrow piece of tape aroundthe paper clip to act as a spacer and toprovide stability. Repeat this step with twoof the three remaining fans.12. Wrap a narrow piece of tape 1 inch fromthe straight end of the paper clip. Place theremaining fan onto the paper clip to serveas the turbine, wrap a final piece of tapearound the paper clip to keep the fan inplace (figure 4).Figure 514. Tape the paper towel core shut.15. Cut down the length of the paper cup andcut the bottom out of it.16. Put the cup back together overlapping theedges.17. Insert it into the paper towel roll, large endfirst. Ease the paper cup open until itsnugly fits inside the toilet paper roll. Tapethe edge of the cup on the inside to hold itsshape. The cup will move easily butshould not fall out. This represents thetailpipe and the movement of the tailpipewith thrust vectoring (figure 6).Figure 413. Install the compressor and turbine unit intothe engine by placing glue inside the tubewhere the edge of the fans will touch thesides of the tube on the same side as wherethe hole was made for the fuel line. Holdthe fans in until glue is partially dry(figure 5).Figure 6High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC37

Discussion1. Based on the experiments and the followupdiscussion, what is the purpose of eachpart of the engine? The air intake bringsambient, or outside,air into the engine.The compression section moves the airthrough a series of fans that compress, orsqueeze, the air causing it to increase inspeed. The combustion section heats theair by burning fuel. This causes the air toexpand very rapidly and significantlyincreases its speed again. Finally, theturbine forces the heated, expanding airout the back of the engine, creating thrust.AssessmentConduct a class discussion where studentsshare their findings about how a jet engineworks. Have them complete the jet enginework sheet by describing the function of eachpart of the jet engine. As an optional activity,instead of the Student Work Sheet, thestudents could be given a blank sheet of paperand instructed to draw a jet engine crosssection using their model and then describethe function of each part. Collect and reviewcompleted student worksheets.38High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Intake Station DirectionsMake sure to fill in the description and prediction sections on your Jet Propulsion Work Sheetbefore doing the experiment.1. Turn on the fan.2. Hold a piece of paper in front of the fan. Observe what happens.3. Next, hold the paper behind the fan. Observe what happens.4. Record your observations on your Student Work Sheet. Make sureto explain not only what happened but also why you think ithappened.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC39

Compression Station DirectionsMake sure to fill in the description and prediction sections on your Jet Propulsion Work Sheetbefore doing the experiment.1. Take one of the index cards and poke a hole in the center of it usingyour pencil.2. Thread about an inch of the string through the hole. Tape the inch ofstring to the index card. The free end of the string will move in theair current to help determine the relative speed of the air coming outof the fan.3. Turn on only the front fan.4. Hold the card in front of the fan so the long edge of the index card isabout three inches from the front of the fan. Angle the card so that thestring is blown by the air current coming from the fan.5. Use a marker to mark how high on the card the string moved.6. Leave the front fan on and turn on the rear fan.7. Hold the card in front of the fan again.8. Again, mark how high on the card the string moved.9. Record your observations on your Student Work Sheet. Make sure toexplain not only what happened but also why you think it happened.Butcher PapercylinderIndexCardStringFans40High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Combustion Station DirectionsMake sure to fill in the description and prediction sections on your Jet Propulsion Work Sheetbefore doing the experiment.1. Pick up the flask using the tongs.2. Hold the flask one to two inches above the flame from theSterno can.3. Wait and watch the balloon.4. Record your observations on your Student Work Sheet. Make sureto explain not only what happened but also why you think ithappened.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC41

Student Work Sheet Part 1Name:__________________________Date:___________________________Jet PropulsionYou may do the experiments in any order you choose. Complete these steps at each station:1. Describe the experiment in your own words.2. Predict what will happen during the experiment. Do this BEFORE conducting theexperiment.3. Conduct the experiment.4. Record your observations and give your opinion as to why the experiment worked as it did.———————————————————————————————————————Intake StationDescribe the experiment: ________________________________________________________________________________________________________________________________________________________________________________Make your prediction: __________________________________________________________________________________________________________________________________________________________________________________Record your observations: _______________________________________________________________________________________________________________________________________________________________________________Compression StationDescribe the experiment: ________________________________________________________________________________________________________________________________________________________________________________Make your prediction: __________________________________________________________________________________________________________________________________________________________________________________Record your observations: ___________________________________________________________________________________________________________42High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Combustion StationDescribe the experiment: _______________________________________________________________________________________________________________________________________________________________________________Make your prediction: ___________________________________________________________________________________________________________________________________________________________________________Record your observations: ________________________________________________________________________________________________________________________________________________________________________These three stations demonstrate different parts of a jet engine and how it works.Based on your observations, describe how you think a jet engine works.NOTE: One of the stations has to be used twice.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC43

Name:____________________Date:_____________________Jet Propulsion Work SheetStudent Work Sheet Part 2Describe the function of each part of the jet engine pictured below and state the scientificconcepts that occur.CompressorCombustion ChamberTurbinesEngineAir IntakeEngine Tailpipeand Jet NozzleEngine CaseAir inlet (also intake)___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Compressor____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Fuel line____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Turbine__________________________________________________________________________________________________________________________________________________________________Jet nozzle__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________44High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Part 1Materials and Tools• One 8-by-10-inch F-15 ACTIVE templateon page 56, photocopied on cardstock, perstudent• One balloon per student• One 1-inch section of 1/4-inch rubbertubing per student (example: fish tanktube).• One small rubber band per student• One pair of scissors per student• Tape• Three 8-inch pieces of string per student• One copy of the Student Work Sheet perstudentProcedures1. Cut out the picture of the F-15 ACTIVEon page 56. Set aside.2. Cut the straw so there is about 1 inchbetween the flexible section and each endof the straw.3. Cut a 1/2-inch slit in one end of the straw.Gently push one end of the rubber tubinginto the end of the straw with the slit. Thiswill keep the straw from collapsing whenthe rubber band is wrapped around it.4. Slide the neck of the balloon over the endof the straw with the rubber tubing in it.5. Wrap the rubber band around the balloon,the straw, and the rubber tubing. This willcreate an airtight seal and allow theballoon to be inflated.6. Position the balloon engine on the plane sothat the flexible section of the strawextends beyond the edge of the plane. Theballoon should rest on the plane. Tape theengine to the plane across the rubberbandedsection.7. Using the scissors, carefully poke a hole inthe plane approximately where the cockpitis and one near the tip of each wing. Seehole locations marked on the template onpage 56.8. Thread one end of each piece of stringthrough the holes. Tie a knot in eachstring underneath the plane to keep it fromslipping off.46High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

9. Gather the free ends of the string together,adjust them so the plane hangs level, andtie or tape the ends together.Part 2Materials and Tools• Completed F-15 ACTIVE model frompart 1• Student Work Sheet on pages 48 and 49Procedures1. Tell the students they are going to do anexperiment to find out how the plane willreact when the direction of the thrust fromthe balloon is changed.2. Provide each student with a copy of theStudent Work Sheet on pages 48 and 49.Instruct them to record their predictions,giving as much detail as possible, prior toconducting the experiments.3. Ask the students to predict what they thinkmight happen when the balloon is inflatedand pinched shut, the straw is pointed at a20º angle left, and then the straw isreleased so the air is forced out of theballoon through the straw. Give them timeto record their predictions.4. Have the students conduct the experimentand record their observations on theStudent Work Sheet.5. Repeat the experiment with the straw bent20º to the right. Make sure they recordtheir predictions first.6. Next, have them conduct the experimentwith the straw pointed 20º up, then againwith the straw bent down. When theypoint the straw up or down, the studentswill need to hold the plane with theirthumb and finger near the cockpit and notuse the strings at all. Tell the students topay attention to how the paper plane bendsbefore inflating the balloon and while theballoon is deflating. The movement forthese two experiments is very small, butcan be detected, if they watch closely.7. Discuss the results of each group’sexperiments. Did the predictions match theresults? Why or why not?AssessmentCollect and review student worksheets.ExtensionConstruct two balloon engines and attach tothe model to simulate the directionalindependence of the two F-15 ACTIVEengines.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC47

Student Work Sheet (Part 2)Name: ______________________________Date: ______________________________Experimenting with Thrust VectoringComplete these steps prior to conducting each experiment:1. Describe the experiment in your own words.2. Predict what will happen during the experiment. Do this before conducting the experiment.3. Conduct the experiment.4. Record your observations and give your opinion as to why the experiment worked as it did.Thrust vectored 20º leftDescribe the experiment:__________________________________________________________________________________________________________________________________________________________Make your prediction:__________________________________________________________________________________________________________________________________________________________Record your observations:___________________________________________________________________________________________________________________________________________________________Thrust vectored 20º rightDescribe the experiment:__________________________________________________________________________________________________________________________________________________________________________________________________________Make your prediction:___________________________________________________________________________________________________________________________________________________________________________________________Record your observations:__________________________________________________________________________________________________________________________________________________________________________________________________________48High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Thrust vectored 20º upDescribe the experiment:__________________________________________________________________________________________________________________________________________________________________________________________________________Make your prediction:__________________________________________________________________________________________________________________________________________________________________________________________________________Record your observations:__________________________________________________________________________________________________________________________________________________________________________________________________________Thrust vectored 20º downDescribe the experiment:__________________________________________________________________________________________________________________________________________________________________________________________________________Make your prediction:__________________________________________________________________________________________________________________________________________________________________________________________________________Record your observations:__________________________________________________________________________________________________________________________________________________________________________________________________________High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC49

Objective• Find the center of gravity and discover itsrelationship to thrust vectoring, pitch, andyaw.Science StandardsPhysical SciencePosition and Motion of ObjectsUnifying Concepts and ProcessesEvidence, Models, and ExplanationScience and TechnologyTechnological Design AbilitiesScience Process SkillsMeasuringMaking ModelsMathematical StandardsConnectionsComputing and EstimatingMeasuringLesson 3: Center of Gravity, Pitch, YawGrades 5 - 8them to the student worksheet. Following adiscussion of center of gravity, pitch, and yaw,the students will label the two pictures toshow their understanding of pitch and yaw andcorrectly label the position of the center ofgravity.Background InformationTo find the center of gravity, engineers weighthe aircraft, usually at the wheel points, thencalculate the balance point of the airplane. Forconventional airplanes, this is usuallyapproximately 25 percent of the average wingchord and along the center line of the fuselage.When the plane moves in the pitch axis, theplane moves around the center of gravity, withManagementThis lesson works well with students workingindividually but helping each other throughthe construction section. Allow approximatelytwo 40- to 45-minute class periods tocomplete. This lesson is divided into twoparts. In part 1, students will calculate thelocation of the center of gravity using theaverage wing chord formula. Once this hasbeen calculated, the students will mark thecenter of gravity’s location on the picture ofthe plane from lesson 2. The students mayneed to use a paper clip to make sure the planebalances at the 25% chord point. In part 2 thestudents construct a model of the F-15ACTIVE by marking the center of gravity onthe smaller pictures, cutting out the two viewsof the planes and the engines, and attachingThrust vectoringThrust vectoringStabilatorsUse of propulsion controls inplace of aerodynamic controlsRudders50High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

the nose going up or down. In current aircraftdesigns this is accomplished with the use ofthe elevators. Elevators can be part of thehorizontal tail or, as on the F-15 ACTIVE, theentire horizontal tail can move to serve aselevators. Similarly, when the plane moves inthe yaw axis, it rotates around the center ofgravity, with the nose moving left or right.Research was conducted on how thrustvectoring affects pitch and yaw control on theF-15 ACTIVE. Like the elevators and rudder,pitch and yaw are changed by altering theangle of thrust. In addition to thrust vectoring,the F-15 ACTIVE has canards forward of thewings, which are also used to change pitch.way to find the center of gravity of an object.2. Ask the class if they have any idea how engineersfind the center of gravity of an airplane. Leadthem to the use of a formula to calculate thecenter of gravity.3. The students will do this using their pattern fromlesson 1 (page 21). To find the center of gravity,first they need to measure the width of the wingnext to the fuselage to the nearest millimeter.Record this number on the Student Work Sheet onpage 54.3DescriptionStudents will measure and calculate 25percent of the average wing chord using thedrawing of the F-15 ACTIVE from lesson 2.Using this calculation they will find the centerof gravity. Students will then put together amodel of the F-15 ACTIVE and label thediagram based on two views, one showingpitch, the other showing yaw.4. Next, measure the width of the wing at the wingtip and record this measurement.4Part 1Materials and Tools• Paper model of F-15 ACTIVE from lesson2 on page 21.• One metric ruler per student• Calculators• One copy of the Student Work Sheet Part 1for each student (see page 54).• Optional: an overhead copy of the F-15ACTIVE pattern from lesson 1, page 21,for teacher useProcedures1. Have the students balance their ruler onone finger, moving the ruler back and forthuntil it is level. Explain that this is oneHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC51

5. Have the students calculate the averagewing chord by adding the twomeasurements, then dividing the answerby two. Record the answer on the studentworksheet.6. Using the ruler, making sure it is placedparallel to the fuselage, locate the sectionof the wing that matches the width of theaverage wing chord.the students can simply fold the plane in half,making sure to match the edges.12. Mark a large dot on the plane where the centerlengthwise fold and the line connecting the wingchords intersect. This is the center of gravity.67. Students should draw a line across thewing at this point.8. Next the students will calculate 25 percentof the length of the wing chord.9. Mark the 25 percent wing chord distanceon the line they drew for the average wingchord. This distance should be measuredfrom the front, or leading, edge of thewing. Do this on both wings.10. Use a straight edge to draw a lineconnecting the two dots.11. To find the center of the plane lengthwise52High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Part 2Materials and Tools• F-15 ACTIVE model from lesson 1 (page21).• One cardstock copy of top and side viewof F-15 ACTIVE and engines per student(see page 56).• 4 small brads or paper fasteners perstudent• Scissors• One copy of the center of gravity, pitch,and yaw worksheet per student (see page55).Procedures1. Discuss the direction the tail and nosemoved when the thrust was directed left orright in lesson 2. This is yaw.2. Check for understanding by having thestudents hold up their planes anddemonstrate the motion when changingyaw.3. Explain that pilots change the yaw duringcrosswind landings. If a wind is blowingacross the runway the pilot will need tochange the yaw to compensate for the pushof the wind across the plane. This willallow the pilot to land safely.4. Discuss the direction the tail moved whenthe thrust was directed up or down inlesson 2. This is pitch. Pitch also controlsthe movement of the nose of the plane.When the tail moves up the nose pointsdown. When the tail is down the nosepoints up. Because of the necessity ofholding the plane by the nose, the studentscould not see the movement of the noseduring this portion of lesson 2.5. Check for understanding by having thestudents hold up their planes anddemonstrate the motion when changingpitch.6. Explain that pilots change the pitch in order tochange the angle of attack of the plane, whichaffects the amount of lift generated by the wings.7. Construct the model of the F-15 ACTIVEfollowing the directions below and on the StudentWork Sheet.8. Mark the center of gravity on the top and sideviews of the F-15 ACTIVE.9. Cut out the F-15 ACTIVE views and engines.10. Attach the engines to the plane using one brad foreach view. Put the brads through the dots on theengine pieces and the engine area on the plane.This will simulate the thrust vectoring of the F-15ACTIVE.11. Attach the cutouts to the work sheet using theremaining brads by putting the brads through thecenter of gravity of each plane and then throughthe work sheet.12. Label each view as showing either pitch or yawand explain the purpose of pitch and yaw.AssessmentCollect and review the work sheets.ExtensionHave students research pitch and yaw, and how theyrelate to flight.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC53

Student Work Sheet Part 1Name:________________________Date:_________________________Finding Center of GravityFollow these steps to find the desired location for the center of gravity for the F-15 ACTIVE.1. Measure the distance from the leading edge to the trailing edge of the wing:A. Next to the fuselage _________B. At the wing tip _________EC. Add _________BD. Divide by 2 ÷ 2AE. Average wing chord _________2. Use your ruler to locate the position on the wing that matches the length of the averagewing chord you just calculated. Use the ruler to draw in the average wing chord. Makesure it is parallel to the fuselage.3. Calculate the desired location of the center of gravity:A. Average wing chord (from letter E) _________B. Find 25 percent of average x 0.25wing chordC. Answer _________4. Put a dot this distance back from the leading edge of the wings on both of your averagewing chord marks. Use a straight edge to connect these two dots.5. Fold your F-15 ACTIVE in half lengthwise to find the center axis.6. Where the fold and the line connecting the 25 percent marks intersect is the location ofthe center of gravity for the F-15 ACTIVE. Put a large dot here.Center ofGravity54High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Student Work Sheet Part 2Name:_________________________Date:__________________________Center of Gravity, Pitch, and Yaw Work SheetDirections1. Mark the center of gravity on the top and side views of the F-15 ACTIVE.2. Cut out the F-15 ACTIVE views and engines.3. Attach the engines to the plane using one brad for each view. Put the brads through the dotson the engine pieces and the engine area on the plane. This will allow the engines to moveand simulate the thrust vectoring of the F-15 ACTIVE.4. Attach the cut-outs to the work sheet using the remaining brads by putting the brads throughthe center of gravity of each plane and then through the work sheet.5. Label each view as showing either pitch or yaw and explain how pitch and yaw affect theflight of an aircraft.(attach plane here)______________________________________________________________________________(attach plane here)High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC55

F-15 ACTIVE TEMPLATE56High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

ObjectiveGraph variations in thrust/drag of F-15ACTIVE when the tail sections areremoved. Use the graph to draw conclusionsabout fuel efficiency.Science StandardsUnifying Concepts and ProcessesChange, Constancy, and MeasurementEvidence, Models, and ExplanationScience and TechnologyTechnological Design AbilitiesLesson 4: Fuel EfficiencyGrades 7 - 8Background InformationOne of the benefits of the thrust vectoringconcept is the potential financial savings fromincreased fuel efficiency. Thrust vectoring mayallow for the partial or complete removal of thevertical and horizontal tail. Doing this willreduce the weight of the aircraft and also reducethe amount of drag. When drag is reduced, theamount of thrust needed to fly the aircraft is alsoreduced, which reduces the amount of fuelrequired. Drag is calculated using the formula:Drag = K x CD x V2Science Process SkillsMaking GraphsControlling VariablesMathematical StandardsCommunicatingReasoningComputing and EstimatingStatisticsManagementThis activity works best with students workingindividually, but giving assistance to each other.This is also best suited to students who haveworked with formulas in the past. Allow 40-45minutes to complete this activity. This activityis divided into two parts. In part 1 students usethe formula for drag to calculate the differencein drag between an F-15 ACTIVE with the tailsections attached to the plane and again with thetail sections removed. In part 2 students willmake conclusions about fuel efficiency withtails and without tails based on the graphs theyconstructed. This activity stresses precisecalculations, graphing, analyzing graphicalinformation, and drawing conclusions based ongraphical information.K = 1.06 (a constant calculated for flight atsea level. This number varies as wing areaof the aircraft changes. Actual equation isincluded at the end for use if desired.)CD = drag coefficient (assuming 0.02 withtails on, 0.01 without tails)V = velocity of plane in feet per secondFor straight and level flight under idealconditions, when no wind is present and there isno acceleration or deceleration, thrust is equal todrag.DescriptionStudents will calculate the thrust/drag created bythe F-15 ACTIVE with the vertical tails on andoff. They will graph this information in a bargraph and make conclusions about the amount offuel needed by both variations of the plane. Thecalculations can be done both at sea level and at18,000 feet for additional comparisons.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC57

Part 1Materials and Tools• Graph paper• Colored pencils• Straight edge• CalculatorsProcedures1. Explain the concepts of thrust and drag tothe students. Thrust is what pushes anobject forward. Drag is what slows itdown or pushes backwards.2. Ask how thrust and drag have beendemonstrated throughout the activitiesrelating to the NASA F-15 ACTIVEproject.3. To this point these concepts have beenobserved subjectively. Now the studentsare going to learn how to calculate thrustand drag and make conclusions about fuelefficiency. NOTE: The number used forthe drag coefficient is much larger for thisactivity than it is in actuality. This is so thestudents can draw conclusions based onthe graph. The actual number is 2 percentof what is used here. Scientificcalculations must be extremely precise and2 percent is enough to make a differenceto NASA engineers and scientists, it issimply too small for seventh and eighthgrade students to notice a real difference.Precision in this activity is being sacrificedin order for the students to grasp moreeasily the concepts being presented.4. Explain that in order for a plane to fly at asteady state, the amount of thrust put outby the engines must be equal to theamount of drag created by the plane(thrust=drag). Ask what they believewould happen if the amount of thrust waslarger than the amount of drag. Then askwhat would happen if the amount of thrustwas less than the amount of drag.5. Put this equation on the chalkboard oroverhead:Drag = K x CD x V2 where:K = 1.06 (a constant calculated forflight at sea level. Actual equation isincluded at the end.)CD = drag coefficientV = velocity of plane in feet persecondThe drag coefficient of the F-15 ACTIVEis assumed to be 0.02 with tails on and0.01 without tails. Work several exampleswith the students at various velocities andchanging between the drag coefficientwith tails and without tails so theyunderstand the algebra involved.6. Explain that they will only be focusing onstraight and level flight. This means theamount of thrust is equal to the amount ofdrag. Therefore, the same equation fordrag can be used to calculate thrust.7. Have them calculate the thrust needed forthree different velocities (for example:35,200 ft/sec, 44,000 ft/sec, and 52,800 ft/sec). Make sure they calculate the thrustfor both tails on (drag coefficient of 0.02)and tails off (drag coefficient of 0.01). Theequation to convert from feet per second tomiles per hour, and miles per hour to feetper second, has been included in theextension section.8. Show them how to set up a set of axes fora bar graph using their straight edge todraw their lines. Vertical (y-axis) is thrust.Horizontal (x-axis) is for the labels foreach bar. All three sets of double bargraphs may be done on one set of axes ifdesired. Indicate two colors for the barsshould be used, one for tail on and theother for tails off. Also instruct them onsetting the intervals for the vertical axisbased on the calculations they made.58High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

9. Draw the bar graphs using the straightedge. Make sure adequate space is allowedbetween each set of double bars. Thereshould be one pair of bars for each of thedifferent velocities. The students alsoshould include a legend indicating whichcolor was used for which condition.Tail onTail offCD = 0.02 CD = 0.01T1=1.06 x 0.02 x 35,200 = 746.24 lbsT1=1.06 x 0.01 x 35,200 = 373.12 lbsT2=1.06 x 0.02 x 44,000 = 932.81 lbsT2=1.06 x 0.01 x 44,000 = 466.41 lbsT3=1.06 x 0.02 x 52,800 = 1119.36 lbsT3=1.06 x 0.01 x 52,800 = 559.68 lbsHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC59

Bar GraphDrag / Thrust in pounds1200115011001050100095090085080075070065060055050045040035030025020015010050035,200ft/sec44,000ft/sec52,800ft/secVelocity of plane60High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Bar Graph AnswersDrag / Thrust in pounds1200115011001050100095090085080075070065060055050045040035030025020015010050035,200ft/sec44,000ft/sec52,800ft/secVelocity of planeTailsonTailsoffHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC61

Part 2Materials and Tools• Graph from Part 1• One copy of Student Work Sheet perstudent (see page 63)AssessmentConduct a class discussion where studentsshare their conclusions about thrust vectoringand fuel efficiency. Collect and reviewstudents’ written conclusions.Discussion QuestionsHave students use their graphs to answer thefollowing questions:1. Which situation, with tails on or withouttails, needs the most thrust?2. Which situation creates the least amountof drag?3. How would an increase in the thrust affectthe amount of fuel needed?4. Which situation would be the most fuelefficient? Least fuel efficient?5. Which situation would need thrustvectoring to ensure controlled flight?6. What conclusions can be drawn regardingthe fuel efficiency of thrust vectoringbased on your graph and the answers tothe previous questions?Extensions1. Convert velocity, “V”, from feet persecond to miles per hour:V x 60 seconds x 1 mile1 hour 5280 feet2. Convert velocity, “V”, from miles perhour to feet per second:V x 1 hour x 5280 feet60 seconds 1 mile62High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC

Student Work SheetName:_________________________Date:__________________________Fuel Efficiency Work SheetUse your graph to answer the following questions about the fuel efficiency ofthrust vectoring.1. Which situation, with tail or without tail, requires the most thrust?_________________________________________________________________________2. Which situation, with tail or without tail, creates the least amount of drag?________________________________________________________________________3. How would an increase in the thrust affect the amount of fuel needed?__________________________________________________________________________________________________________________________________________________4. Which situation would be the most fuel efficient? Least fuel efficient?__________________________________________________________________________________________________________________________________________________5. In which situation, with tail or without tail, would thrust vectoring be used toensure controlled flight? (Hint: Think back to the experiments done in lesson 4.)_________________________________________________________________________6. What conclusions can be drawn regarding the fuel efficiency of thrust vectoringbased on your graph and the answers to the previous questions?__High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC63

G l o s s a r y64 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Aeroelastic Divergence: Aeroelasticity is the science that studies forces causing structuralbending and flexing of aircraft components such as wings. When a forward-swept wing produceslift, structural bending causes the forward edge of the wing to increase incidence (it bendsupward). This in turn further increases the aerodynamic lift until at some speed (or value of lift)the aerodynamic forces overcome the structural restoring forces of the wing. This is calledaeroelastic divergence and causes the wing to bend up until it breaks.Afterburner: On some jet engines, a tailpipe section aft of the turbine where additional thrust isproduced. Afterburner operation is not continuous but can be selected by the pilot, normally bymoving the throttle lever forward through a detent to the afterburner position. Additional fuel isthen injected into the hot exhaust gases and combustion significantly increases the thrustcompared to that of the basic engine. Unfortunately, fuel consumption is even further increased.Also “reheat” [UK], “augmented thrust,” or “max thrust.”Aileron: A movable section on a wing used for controlling the roll attitude of the airplane.Ailerons are normally located on the outboard trailing edges of each wing and are interconnectedso as to move in opposite directions. Downward aileron movement on one wing increases thatwing’s lift while a corresponding upward aileron movement on the opposite wing decreases lift;the unbalanced forces cause a roll towards the wing with upward aileron deflection. Ailerons arecontrolled by the pilot’s control stick or wheel, which is moved in the direction of desired roll.(From “aleron,” French for “wing tip.”)Ailerons controlrollRaising ailerondecreaseslift and lowers wingNormal liftLowering aileronincreaseslift and raises wingAirfoil: A solid surface designed to move through air and obtain a useful force called lift.Examples are wings, sails, propeller blades, and helicopter rotor blades. In the study ofaerodynamics, “airfoil” usually refers to the cross-sectional shape obtained by the intersection ofthe wing with a perpendicular plane.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC65

Airspeed: The speed of an airplane relative to the surrounding air (“groundspeed” would be theairplane’s speed relative to the ground; the two would be equal in the absence of wind). Airspeedis usually measured by a “Pitot-static system,” which reacts to air pressure caused by movementof the airplane through the air.Airspeed Indicator: An instrument in the pilot’s cockpit giving continuous indication ofairspeed. Usually, airspeed indicators show the speed in units of knots (1 knot = 1 nautical mileper hour where 1 nm = 6000 feet). However, many of the smaller airplanes have airspeedindicators calibrated in mph (1 mph = 1 statute mile per hour where 1 sm = 5280 feet).Angle-of-Attack (AOA, alpha, a): The angle of incidence of the airplane’s wing (or otherreference) with the airflow direction. The airflow direction relative to the airplane is often termedthe “relative wind.”Attitude: An airplane’s pitch, roll, and/or yaw angle relative to the Earth’s horizon or anotherreference. Attitude is displayed to the pilot on an instrument called an “attitude indicator.”66 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Bank Angle: Airplane’s angle of bank relative to the Earth’s horizon (see roll).Bleed Air: Air under pressure that is bled from a jet engine for purposes other than producingthrust. These uses include cockpit or cabin pressurization and air conditioning or, in the case ofthe Harrier, air to power the “puffer jet” reaction control system.Canard: A horizontal control surface mounted in front of the wing. Also, “foreplane.”Control (or Command) Augmentation System (CAS): An electrical circuit between the pilot’scontroller (stick, wheel, sidestick) and the control surface, which essentially boosts the pilot’sinitial control force and makes flying the airplane easier and more precise; “power steering.”Sensors in the CAS circuit provide feedback signals (typically load factor, pitch rate, or roll rate)to a computer, which compares them to the pilot command signal to make the airplane respondas desired. In this manner, aircraft response is consistent over most of the flight envelope, andunwanted motions are heavily damped.Center of Gravity (CG, c.g.): Point through which the force of gravity acts and about which theairplane is balanced. An airplane’s longitudinal, lateral, and vertical axes intersect at the c.g. Thelocation of the c.g. is normally given in inches from a datum or expressed in terms of the wing’smean aerodynamic chord (%MAC).Compressibility: Phenomenon of air moving over a curved aircraft surface at speeds close tolocal sonic speed, where air can no longer be considered as incompressible (as it is assumed to befor most subsonic aerodynamics applications). Effects include the appearance of shockwaves,rapid increase in drag, rearward shift of the lift forces, and, for improperly designed aircraft,stability and control problems.Control Laws: The sequence of calculations an electronic flight control system uses to controlaircraft response to pilot inputs and external disturbances such as wind gusts.Damper: An electrical circuit in a flight control system that senses uncommanded motion andmoves a control surface to stop unwanted oscillations. Typically, pitch, roll, and/or yaw dampersare used. (See Stability Augmentation System.)High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC67

Drag: Retarding force acting upon an airplane parallel to the direction of motion. “Parasitedrag” is caused by the friction of the air moving over the airplane. The other basic type of drag isrelated to the wing’s production of lift and is called “induced drag.” Induced drag is affected bythe wing’s shape, the angle at which the air strikes the wing, and the speed and density of theairflow.Down ForceResulting MotionDynamic Stability: An airplane’s response over time to a disturbance from the trim condition(a state of equilibrium). The response may diverge from the trim condition, converge back totrim, or oscillate about trim. An oscillatory response may continue to increase in amplitude, stayabout the same, or decrease in amplitude (“damp out”).Elevator: A movable control surface hinged to the trailing edge of a horizontal stabilizer that isconnected to the pilot’s controls (stick, wheel, sidestick). Aft motion of the pilot’s control causesthe elevator to deflect and produce a nose-up pitch response; forward control motion causes anose-down pitch response.Elevons: A hinged control surface on the trailing edge of a wing that is connected to the pilot’scontrols combining the functions of elevators and ailerons. Elevons are often used on delta-wingaircraft.Feedback Control System: Circuit of a flight control system that regulates aircraft responsethrough feedback compensation techniques. The pilot’s control input becomes the system’scommand; resultant aircraft motions are measured, transformed into electrical signals, and thenconditioned and amplified for summing with the input command. This forms a closed loop,illustrated below. The error between the output and input signal becomes an electrical commandto the flight control surfaces until output equals input.68 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Flight Controls: Devices the pilot uses to steer and control the trajectory of an airplane; alsorefers to the external surfaces responding to the pilot’s flight control movements or inputs. Thepilot’s controls, the external surfaces, and all mechanical and electrical linkages, computers, andsensors in between make up the flight control system. Pilot’s controls usually include a centerstick, control wheel, or sidestick; flap lever; speed brake handle or actuation button; and nozzleangle position lever in the case of the Harrier.Flight Control Surfaces (or Effectors): The external surfaces that respond to pilot inputs tocontrol the airplane’s trajectory. Primary surfaces produce direct response in pitch, roll, and yaw.These include elevators, stabilators, canards, elevons, tailerons, ailerons, rudders, and thrustvectoring nozzles. Secondary flight control surfaces augment the primary surfaces by modifyingthe lift and drag characteristics of the wings and airplane. These include wing flaps (usually onthe trailing edge but sometimes used on the leading edge), wing slats, spoilers, and speed brakes(UK = “air brakes”). The recent terminology for primary flight controls is “flight controleffectors,” as the effector may not be a conventional control surface. For example, NASA’s F-15ACTIVE research aircraft is said to have nine flight control effectors: left and right canards, leftand right ailerons, rudder (the two rudders move together and are treated as one effector), leftand right stabilators, and pitch or yaw TV (thrust vectoring).Right AileronRight CanardRight StabilatorPitch and YawNozzlesLeft CanardLeft StabilatorLeft AileronRudderHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC69

Flight Envelope: The boundaries of speed, Mach, altitude, load factor, and angle-of-attackwithin which a particular airplane design can sustain flight. A typical flight envelope is presentedas a two-dimensional plot with altitude on the y-axis and speed/Mach on the x-axis.60x 10 3504 51040Altitude,ft301g - 30° AOA10062003002 3111213201910004005007 8700800900100011001200130014006000.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0Mach NumberFly-By-Wire: The generally accepted terminology when the pilot’s control commands areprocessed by a computer and sent to the flight control surface actuators with electrical signals (orfiber-optic signals, sometimes called “fly-by-light”) rather than mechanical linkage. NOTE:“power-by-wire” is a recent term for flight control surface actuators that are electrically powered,as opposed to the conventional hydraulic-powered actuator.g Loading (load factor, g, n, Nz): The increase in apparent weight of the pilot and aircraft whenan airplane is maneuvered in flight, caused by inertia forces. Load factors are measured inreference to the vertical (Z) axis by accelerometers and expressed in “g” units. In level flightwith no turning, the load factor is at 1g and the load on the structure is equal to the weight of thestructure. If the aircraft turns or pulls up at 2 gs, the load on the structure and pilot is twice theirweight. Since wing lift must be increased to effect a turn or other maneuver, it can be shown thatthe load factor equals the ratio of lift to weight: n = L/W.Head-Up Display or Heads-Up DisplayTo improve flight safety and reduce pilot workload in high-performance aircraft, critical parameterssuch as aircraft attitude, altitude, airspeed, and navigation information are viewed directly bythe pilot via a plasma display embedded into the windshield or canopy of the aircraft. Thisreduces the need for the pilot to divert his attention to the instrument panel inside the cockpit,especially for those parameters he views directly on the windshield.15001600ACTIVE envelopeDynamic pressure, psf70 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Horizontal Stabilizer: A horizontal airfoil at the rear of an airplane providing stability in pitch.The stabilizer may be fixed or have a small angular adjustment for trim only. Elevators may bemounted on the back. In some designs, especially supersonic airplanes, the entire stabilizer ispivoted and moves for pitch control. Also, tailplane.Lift: The useful force produced by a wing as air flows over it. Air travels faster over the curvedupper surface than along the bottom, which creates lower pressure on the top and higher pressureon the bottom. The pressure differential creates a “vacuum” suction on the upper surface, tendingto lift the wing. The pressure differential can be represented by a single force acting at a locationcalled the “center of pressure” and perpendicular to the relative wind. The amount of lift isaffected by the shape of the wing, the angle at which the wind strikes the wing, and the speed anddensity of the airflow.Lift90ºDrag90ºRelative WindMach Number: Ratio of aircraft’s airspeed to the speed of sound: M= V/a where V is trueairspeed and a is the speed of sound which varies with air temperature. At Mach 2, an aircraft istraveling at twice the speed of sound. The term is named after Ernst Mach (1838-1916), anAustrian physicist.Maneuverability: The ability of an aircraft, as commanded by its pilot, to change trajectory. Apilot must be able to hold an airplane in a maneuver, and the designer has to provide adequateflight control effectors appropriate to the role of the aircraft. Maneuverability is opposed bystability; that is, the less stable an airplane, the more maneuverable it is. However, some degreeof stability is required in order for the pilot to maintain the desired trajectory.High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC71

Nozzles: The aft section of a jet engine tailpipe through which the exhaust gases escape. Usually,the nozzle is designed with interleaved metal sections (nozzle leaves), which allow the nozzleexit area to be varied. If the nozzle exit area is decreased, the exhaust velocity is increased bythe relationship V 2= (A 1/A 2) V 1. A nozzle controller continuously varies the exit area to provideoptimum exhaust gas velocity and internal tail pipe temperature. Recent nozzle design providesthe ability to vary the nozzle and exhaust gas angular direction to provide thrust vectoring.Pitch, Pitch Attitude: Angular rotation about the airplane’s lateral (Y) axis, usually termed“nose up” or “nose down.” The angle between the airplane’s longitudinal (X) axis and theEarth’s horizon is called pitch attitude. Pitch is produced by the elevators (or canards, or pitchthrust vectoring).Side ForceResulting MotionPositive Static Stability: The level of static stability of an airplane is determined by the relationshipor location of the aerodynamic center of pressure (ac) with respect to the airplane’s center ofgravity (cg). Typically the more forward the center of gravity from the aerodynamic center, themore positive static stability an airplane will have. This means that following application andremoval of a disturbance, the airplane will return to its initial undisturbed equilibrium positionrelatively quickly.72 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Quadraplex: To provide security in the event of certain critical complex airplane system failures,such as a flight control computer, four (quadraplex) computers are utilized to performsimilar simultaneous functions. Each computer checks on the others to verify that they all agreeby comparing output commands. If one computer or system command output is found to differ,it can then be deactivated or ignored and the others will continue their normal function, thusavoiding the possibility of a catastrophic situation.Reaction Control System: In the absence of atmospheric aerodynamic pressure acting on aspace plane’s control surfaces (elevator, ailerons, or rudder), to change its attitude or positionwith respect to another object, such as the Earth, another means must be employed. Such asystem must be utilized in space where no aerodynamic force can be produced. In the vacuum ofspace, small on/off rocket motors (thrusters) must be used by a spacecraft to produce the force tochange vehicle attitude or position. The jet thrust of small reaction engines (thrusters) is developedby ejecting a substance, such as a stream of gases, from burned fuel (see diagram below).This type of reaction control system (RCS) is controlled by a pilot or computer and is usuallyeither on or off; variable levels of thrust are usually not available. The density of the atmospheredecreases as a function of altitude. Approximately 50 percent of the Earth’s atmosphere is below18,000 feet (5,486 m). As altitude increases the number of molecules or mass per unit volumePitch thrustersYaw thrustersRoll thrusters on wings(a) X-15 reaction controlsThrusters(b) Space Shuttle reaction controlsExamples of reaction controlsHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC73

decreases, resulting in a decrease in atmospheric pressure. As altitude increases, aerodynamicpressure on aircraft control surfaces decreases to a point where reaction control thrusters must beblended with aerodynamic control to maintain adequate control. As altitude increases further,aerodynamic controls must be phased out and reaction controls phased in. Once out of the atmosphere,reaction control thrusters are then the sole means of orienting or maneuvering the vehicle.In the return to Earth, the control system must phase out the thrusters and phase in aerodynamiccontrol.Relaxed Static Stability: As the location of the center of gravity (c.g.) with respect to theairplane’s aerodynamic center of pressure (a.c.) is decreased, as the case when the c.g. is allowedto move aft, the airplane’s static stability will be relaxed or decreased. This means that followingapplication and removal of a disturbance, the airplane will return to its initial undisturbed equilibriumposition less quickly. If the c.g. is allowed to move aft of the a.c., the airplane willbecome unstable (negative static stability). This is the situation in which, when disturbed from acondition of equilibrium by some force, the airplane will not return to its initial undisturbedposition or attitude following removal of the disturbance force, but will continue to diverge fromthat position.Roll, Roll Attitude, Bank Angle: Angular rotation about the airplane’s longitudinal (X) axis,usually called “right/left roll” or “right/left bank.” The angle between the aircraft’s vertical (Z)axis and the Earth’s vertical is the roll attitude or bank angle. Roll is produced by the ailerons (orspoilers, tailerons, or elevons).Roll Coupling: “Coupling” is what happens when a motion about one axis causes a motionabout another axis. Roll coupling is a divergence in pitch or yaw during rolling maneuvers. It iscaused by a complicated interaction of inertial and aerodynamic properties and can lead to lossof control or structural failure. Many high-performance aircraft with fly-by-wire flight controlsystems incorporate a roll rate limiter to avoid roll coupling.Rudder: A movable flight control surface hinged to the back of the vertical stabilizer, providingyaw control. The rudder is connected to a set of pedals operated by the pilot’s feet; the rightpedal moves (yaws) the nose to the right, and left pedal moves the nose left. This yawing motionpivots the airplane about the vertical (Z) axis. Since the directional stability of an airplane isnecessarily very high, full rudder deflection normally produces small angular displacementscompared to pitch or roll capability, perhaps 15° or less yaw angle at normal cruise speed.Shockwave: The air pressure waves ahead of a supersonic airplane bunch, because the speed ofpropagation of the pressure waves is finite (the speed of sound), and form a surface ofdiscontinuity where the flow changes from subsonic to supersonic. The shockwave forms athree-dimensional conical surface, sometimes called a Mach cone. Shockwaves cause a changein the airflow pressure patterns around an aircraft. This will ultimately change itsmaneuverability, stability, and control characteristics.74 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Sideslip: When an airplane is not flying straight but has an angle between the fuselage and thedirection of motion (flight path, or relative wind), it is said to be in a “sideslip.” This causesadditional drag.Spin: A dangerous maneuver in which the aircraft has stalled and entered a sustained yawingrotation about the vertical axis and a near vertical descent.Spoiler: A small control surface on the top of a wing that decreases (spoils) the wing’s lift bydeflecting the airflow over the wing. This drag is used to augment roll control when spoilers onone wing only (the down-going wing) deflect or to provide quick airspeed reduction whenspoilers on both wings deflect. The latter function is called a speed brake (UK: “air brake”),which the pilot controls by a speed brake extension lever. These may also be extended afterlanding to aid deceleration and reduce landing distance.Stability: The property of a body, as an aircraft or rocket, to maintain its attitude or to resistdisplacement, and if displaced, to develop forces and moments tending to restore the orginalcondition.Stability Augmentation System (SAS): An auxiliary system to the basic manual vehicle controlsystem, whereby response of the control surfaces to inputs by the pilot can be adjusted to give apreselected vehicle response by selection of certain fixed gains in a standard feedback loop oncontrol-surface output.Stabilator: Single-piece horizontal tail control surface used as primary pitch control, especiallyon supersonic aircraft where shockwaves might reduce the effectiveness of an elevator typecontrol. Also “stab” and “slab.”Static Stability: The tendency of an airplane (or body), when disturbed from a undisturbedposition or attitude, following removal of the disturbance force. Airplanes possess a delicate andimportant balance between aerodynamic and gravitational forces. A more stable airplane is moredifficult to move using controls, so if ease of maneuverability is desired, then decreasing orrelaxing its stability will achieve this objective.Stall: A flight condition that occurs when the angle-of-attack becomes so high that the airflowing over the top of the wing no longer flows smoothly, but breaks away (stalls), causing arapid loss of lift. The associated angle-of-attack is called the “stall angle-of-attack” and is alwaysthe same angle for a given wing shape.Stick: A control stick is a pilot cockpit control and is a primary flight control device (a controlwheel may also be used in larger airplanes). A pull or push on the stick controls the airplane pitchattitude. Push results in nose down and pull results in nose up. Left stick or wheel deflection rollsthe airplane left, and right stick rolls to the right.Swept Wing: The term for wings that are inclined towards the back of the airplane. Also calledsweepback, and the angle between the longitudinal axis and the wing leading edge (or otherreference such as the quarter-chord line) is the “sweepback angle.”High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC75

Taileron: A stabilator design where the left and right halves can move in unison for pitchcontrol or differentially to produce roll; may produce both pitch and roll simultaneously. Also,differential tail.Tricycle Landing Gear: Landing gear, or wheels of an airplane, consisting of two mainwheels and a nose wheel that provide support for the airplane while on the ground.Thrust: The pushing or pulling force of an aircraft engine that gives it the forward motionthrough the air to create lift. In a jet engine, air flows in through the front of the engine and ismixed with fuel and compressed. A spark plug makes the fuel mixture burn, expand, and rushout through the exhaust nozzle at the back of the engine to make the airplane go forward.Thrust Reverse (Reverse Thrust): The simplest and most general use of thrust vectoring isreverse thrust . This is typically used on large jet airliners to a stop in short distances. Propellerblades may also be reversed on some airplanes to achieve the same objective. Reverse thrustengines are equipped with a mechanism that turns the normal rearward thrust force 180° to anear-forward direction.Thrust Vectoring: Thrust is a force and as such has both magnitude and direction, whichmakes it a vector quantity. Normally, the thrust of an airplane cannot be changed except byturning the vehicle. If, however, some mechanism is provided to turn, deflect, or rotate anairplane’s thrust vector, with respect to the vehicle, it is capable of thrust vectoring. This typeof system is used to enhance maneuvering.Trim: That state of airplane flight where all forces and moments are in balance and little, ifany, control is required to maintain the condition.Triplex: Similar to a quadraplex system except the number of complex systems is only three(triplex) rather than four.Variable Geometry: Some highly specialized airplanes such as the B-1, F-111, and F-14 havethe ability to change wing sweep in flight. These are referred to as variable geometry airplanesdue to their ability to change shape as flight conditions dictate. Typically they have low sweep(wing forward) at low speed and high sweep (wing aft) at high speed.Variable Stability: Some experimental airplanes have complex computer systems installed sothat their stability and or flight characteristics can be artificially altered in flight based on somepredetermined plan. These systems allow the simulation of increased or reduced (variable)stability or duplicating the flight characteristics of other airplanes for study or pilot familiarizationpurposes.Vertical Fin (Vertical Stabilizer): A fixed vertical airfoil surface usually at the rear of anairplane that provides directional stability. Rudder controls are hinged to the back of thevertical stabilizer. In some supersonic designs, the entire vertical stabilizer can move, similarto a horizontal stabilator. Also, “fin.”76 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Wing: The airfoil surface that produces the main source of lift for an airplane. The front of awing is termed the leading edge while the back is called the trailing edge. The intersection of thewing and fuselage is called the wing root.Wing Warping: During the development of the airplane the Wright brothers determined that theability to control or steer and airplane was as important as the wing’s ability to generate lift. Theconstruction of the first airplanes was of wood, wire, and linen fabric. The Wright brothersdetermined that if they pulled down and twisted (warped) the outboard trailing edge of a wing,the airplane would roll or bank in the opposite direction. That is, the right wing trailing edgedown the airplane would roll left, and vice versa. This method literally distorted or warped thewing (hence the term wing warping). Without the ability to bank an airplane, it is virtuallyimpossible to accomplish a turn. Modern airplanes use ailerons to accomplish banked turns androll maneuvering, and the wings cannot typically be warped.Yaw: Angular rotation about an airplane’s vertical (Z) axis. Yaw is produced by the rudder.Undesired yaw may also be produced by the use of ailerons or other roll controls for banking.This is called “adverse yaw” if the nose moves opposite the direction of roll and “proverse yaw”when the nose moves in the same direction. This undesired yaw is an example of coupling(motion about one axis causing motion about another axis) and is due to the lift vectors of the upgoingand down-going wing being inclined at different angles during a roll. Therefore, a pilot ofa conventional airplane must often use the rudder simultaneously with the ailerons to preventundesired yaw. This is often termed coordinating a turn.The ruddercontrols yawingMoving therudder to theright forces thetail to the leftand the noseto the rightForceMoving therudder to theleft forces thetail to the rightand the noseto the leftHigh Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC77

NASA RESOURCES FOR EDUCATORSNASA’s Central Operation of Resources for Educators (CORE) was established for the national and internationaldistribution of NASA-produced educational materials in multimedia format. Educators can obtain a catalogue and an orderform by one of the following methods:NASA CORELorain County Joint Vocational School15181 Route 58 SouthOberlin, OH 44074-9799Phone: (440) 775-1400FAX: (440) 775-1460E-mail nasaco@leeca.orgHome Page: http://core.nasa.govEducator Resource Center Network (ERCN)To make additional information available to the education community, NASA has created the NASA Educator ResourceCenter (ERC) network. Educators may preview, copy, or receive NASA materials at these sites. Phone calls are welcome ifyou are unable to visit the ERC that serves your geographic area. A list of the centers and the regions they serve includes:AK, Northern CA, HI, ID, MT, NV, OR, UT, WA, WYNASA Educator Resource CenterNASA Ames Research CenterMail Stop 253-2Moffett Field, CA 94035-1000Phone: (650) 604-3574http://amesnews.arc.nasa.gov/erc/erchome.htmlIL, IN, MI, MN, OH, WINASA Educator Resource CenterNASA Glenn Research CenterMail Stop 8-121000 Brookpark RoadCleveland, OH 44135Phone: (216) 433-2017http://www.grc.nasa.gov/WWW/PAO/html/edteachr.htmCT, DE, DC, ME, MD, MA, NH, NJ, NY, PA, RI, VTNASA Educator Resource LaboratoryNASA Goddard Space Flight CenterMail Code 130.3Greenbelt, MD 20771-0001Phone: (301) 286-8570http://www.gsfc.nasa.gov/vc/erc.htmCO, KS, NE, NM, ND, OK, SD, TXSpace Center HoustonNASA Educator Resource Center forNASA Johnson Space Center1601 NASA Road OneHouston, TX 77058Phone: (281) 244-2129http://www.spacecenter.org/educator_resource.html78 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

FL, GA, PR, VINASA Educator Resource CenterNASA Kennedy Space CenterMail Code ERCKennedy Space Center, FL 32899Phone: (321) 867-4090http://www-pao.ksc.nasa.gov/kscpao/educate/edu.htmKY, NC, SC, VA, WVVirginia Air & Space CenterNASA Educator Resource Center forNASA Langley Research Center600 Settlers Landing RoadHampton, VA 23669-4033Phone: (757) 727-0900 x 757http://www.vasc.org/erc/AL, AR, IA, LA, MO, TNU.S. Space and Rocket CenterNASA Educator Resource Center forNASA Marshall Space Flight CenterOne Tranquility BaseHuntsville, AL 35807Phone: (256) 544-5812http://erc.msfc.nasa.govMSNASA Educator Resource CenterNASA Stennis Space CenterMail Stop 1200Stennis Space Center, MS 39529-6000Phone: (228) 688-3338http://education.ssc.nasa.gov/erc/erc.htmCANASA Educator Resource Center forNASA Jet Propulsion LaboratoryVillage at Indian Hill1460 East Holt Avenue, Suite 20Pomona, CA 91767Phone: (909) 397-4420http://learn.jpl.nasa.gov/resources/resources_index.htmlAZ and Southern CANASA Educator Resource CenterNASA Dryden Flight Research CenterPO Box 273 M/S 4839Edwards, CA 93523-0273Phone: (661) 276-5009http://www.dfrc.nasa.gov/trc/ERC/High Performance Learning Activities in Mathematics, Science and TechnologyEG-2003-01-001-DFRC79

VA and MD’s Eastern ShoresNASA Educator Resource Center forGSFC/Wallops Flight FacilityVisitor Center Building J-17Wallops Island, VA 23337Phone: (757) 824-2298http://www.wff.nasa.gov/~WVC/ERC.htmRegional Educator Resource Centers offer more educators access to NASA educational materials. NASA has formedpartnerships with universities, museums, and other educational institutions to serve as regional ERCs in many states. Acomplete list of regional ERCs is available through CORE, or electronically via NASA Spacelink at http://spacelink.nasa.gov/ercn.NASA’s Education Home Page serves as the education portal for information regarding educational programs and servicesoffered by NASA for the American education community. This high-level directory of information provides specific detailsand points of contact for all of NASA’s educational efforts, Field Center offices, and points of presence within each state.Visit this resource at the following address: http://education.nasa.gov.NASA Spacelink is one of NASA’s electronic resources specifically developed for the educational community. Spacelinkserves as an electronic library to NASA’s educational and scientific resources, with hundreds of subject areas arranged in amanner familiar to educators. Using Spacelink Search, educators and students can easily find information among NASA’sthousands of Internet resources. Special events, missions, and intriguing NASA Web sites are featured in Spacelink’s “HotTopics” and “Cool Picks” areas. Spacelink may be accessed at: http://spacelink.nasa.gov.NASA Spacelink is the official home to electronic versions of NASA’s Educational Products. A complete listing of NASAEducational Products can be found at the following address: http://spacelink.nasa.gov/products.NASA Television (NTV) features Space Station and Shuttle mission coverage, live special events, interactive educationallive shows, electronic field trips, aviation and space news, and historical NASA footage. Programming has a 3-hour block—Video (News) File, NASA Gallery, and Education File—beginning at noon Eastern and repeated four more times throughoutthe day. Live feeds preempt regularly scheduled programming.Check the Internet for programs listings at: http://www.nasa.gov/ntvFor more information on NTV, contact:NASA TVNASA Headquarters - Code P-2Washington, DC 20546-0001Phone (202) 358-3572NTV Weekday Programming Schedules (Eastern Times)Video File NASA Gallery Education File12–1 p.m. 1–2 p.m. 2–3 p.m.3–4 p.m. 4–5 p.m. 5–6 p.m.6–7 p.m. 7–8 p.m. 8–9 p.m.9–10 p.m. 10–11 p.m. 11–12 p.m.12–1 a.m. 1–2 a.m. 2–3 a.m.How to Access Information on NASA’s Education Program, Materials, and Services(EP-2002-07-345-HQ) This brochure serves as a guide to accessing a variety of NASA materials and services for educators.Copies are available through the ERC network, or electronically via NASA Spacelink.Please take a moment to evaluate this product at http://ehb2.gsfc.nasa.gov/edcats/educational_wallsheet. Your evaluation andsuggestions are vital to continually improving NASA educational materials. Thank You.80 High Performance Learning Activities in Mathematics, Science and Technology EG-2003-01-001-DFRC

Please placestamp here.Post Officewill not deliverwithout properpostage.NATIONAL AERONAUTICS AND SPACE ADMINISTRATIONEDUCATION DIVISIONMAIL CODE FEWASHINGTON DC 20546–0001Fold along line and tape closed.

EDUCATOR REPLY CARDTo achieve America’s goals in Educational Excellence, it is NASA’s missionto develop supplementary instructional materials and curricula in science,mathematics, and technology. NASA seeks to involve the educational communityin the development and improvement of these materials. Your evaluation andsuggestions are vital to continually improving NASA educational materials.Please take a moment to respond to the statements and questionsbelow. You can submit your response through the Internet or by mail.Send your reply to the following Internet address:http://ehb2.gsfc.nasa.gov/edcats/educator_guideYou will then be asked to enter your data at the appropriate prompt.Otherwise, please return the reply card by mail. Thank you.1. With what grades did you use the educator’s guide?Number of teachers/faculty:____ K–4 ____ 5–8 ____ 9–12 ____Community College____College/University ____Undergraduate ____GraduateNumber of students:____ K–4 ____ 5–8 ____ 9–12 ____Community College____College/University ____Undergraduate ____GraduateNumber of others:____Administrators/Staff ____Parents ____Professional Groups____ General Public ____Civic Groups ____ Other2. a. What is your home 5- or 9-digit zip code? __ __ __ __ __ — __ __ __ __b. What is your school 5- or 9-digit zip code? __ __ __ __ __ — __ __ __ __3. This is a valuable educator’s guide.❏ Strongly Agree ❏ Agree ❏ Neutral ❏ Disagree ❏ Strongly Disagree4. I expect to apply what I learned in this educator’s guide.❏ Strongly Agree ❏ Agree ❏ Neutral ❏ Disagree ❏ Strongly Disagree5. What kind of recommendation would you make to someone who asks aboutthis educator’s guide?❏ Excellent ❏ Good ❏ Average ❏ Poor ❏ Very Poor6. How did you use this educator’s guide?❏ Background Information ❏ Critical Thinking Tasks❏ Demonstrate NASA Materials ❏ Demonstration❏ Group Discussions ❏ Hands-On Activities❏ Integration Into Existing Curricula ❏ Interdisciplinary Activity❏ Lecture ❏ Science and Mathematics❏ Team Activities ❏ Standards Integration❏ Other: Please specify:7. Where did you learn about this educator’s guide?❏ NASA Educator Resource Center❏ NASA Central Operation of Resources for Educators (CORE)❏ Institution/School System❏ Fellow Educator❏ Workshop/Conference❏ Other: Please specify:8. What features of this educator’s guide did you find particularly helpful?9. How can we make this educator’s guide more effective for you?10. Additional comments:Today’s Date:EG-2003-01-001-DFRCExploring the Extreme - Educator’s GuideFold along line and tape closed.